Question

find the coordinates of the points of trisection example , points dividing the line segment ,in three equal parts of the line segment joining the points (2,2) and (7,4)​

Answer 1

ANSWER

Given:- A line segment joining the points A(2,−2) and B(−7,4).

Let P and Q be the points on AB such that,

AP=PQ=QB

Therefore, 

P and Q divides AB internally in the ratio 1:2 and 2:1 respectively.

As we know that if a point (h,k) divides a line joining the point (x1,y1) and (x2,y2) in the ration m:n, then coordinates of the point is given as-

(h,k)=(m+nmx2+nx1,m+nmy2+ny1)

Therefore,

Coordinates of P=(1+21×(−7)+2×2,1+21×4+2×(−2))=(−1,0)

Coordinates of Q=